414457121 has 6 divisors (see below), whose sum is σ = 448791030. Its totient is φ = 382575648.

The previous prime is 414457111. The next prime is 414457133. The reversal of 414457121 is 121754414.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4840000 + 409617121 = 2200^2 + 20239^2 .

It is a de Polignac number, because none of the positive numbers 2^k-414457121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414457111) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1226036 + ... + 1226373.

It is an arithmetic number, because the mean of its divisors is an integer number (74798505).

Almost surely, 2^414457121 is an apocalyptic number.

It is an amenable number.

414457121 is a deficient number, since it is larger than the sum of its proper divisors (34333909).

414457121 is a wasteful number, since it uses less digits than its factorization.

414457121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452435 (or 2452422 counting only the distinct ones).

The product of its digits is 4480, while the sum is 29.

The square root of 414457121 is about 20358.2199860400. The cubic root of 414457121 is about 745.5782013475.

The spelling of 414457121 in words is "four hundred fourteen million, four hundred fifty-seven thousand, one hundred twenty-one".